Basic Math Examples

$- 246 = 6 (16 r)$

Step 1

Rewrite the equation as $6 \cdot (16 r) = - 246$ .

$6 \cdot (16 r) = - 246$

Step 2

Multiply $16$ by $6$ .

$96 \cdot r = - 246$

Step 3

Divide each term in $96 \cdot r = - 246$ by $96$ and simplify.

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Step 3.1

Divide each term in $96 \cdot r = - 246$ by $96$ .

$\frac{96 \cdot r}{96} = \frac{- 246}{96}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $96$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{96 \cdot r}{96} = \frac{- 246}{96}$

Step 3.2.1.2

Divide $r$ by $1$ .

$r = \frac{- 246}{96}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $- 246$ and $96$ .

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Step 3.3.1.1

Factor $6$ out of $- 246$ .

$r = \frac{6 (- 41)}{96}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $6$ out of $96$ .

$r = \frac{6 \cdot - 41}{6 \cdot 16}$

Step 3.3.1.2.2

Cancel the common factor.

$r = \frac{6 \cdot - 41}{6 \cdot 16}$

Step 3.3.1.2.3

Rewrite the expression.

$r = \frac{- 41}{16}$

Step 3.3.2

Move the negative in front of the fraction.

$r = - \frac{41}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = - \frac{41}{16}$

Decimal Form:

$r = - 2.5625$

Mixed Number Form:

$r = - 2 \frac{9}{16}$